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Finding the Third Proportional to 177.19 and 268.88

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Solution

The third proportional to 177.19 and 268.88 is: 408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.19 : 268.88 = 268.88 : x
  2. Step 2: Convert to fraction form
    177.19/268.88 = 268.88/x
  3. Step 3: Cross multiply
    177.19x = 268.88 × 268.88
  4. Step 4: Simplify right side
    177.19x = 72,293.77
  5. Step 5: Solve for x
    x = 72,293.77/177.19
  6. Step 6: Final answer
    x = 408.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.